Smoothed finite element methods (S-FEM): an overview and recent developments

W Zeng, GR Liu - Archives of Computational Methods in Engineering, 2018 - Springer
The smoothed finite element methods (S-FEM) are a family of methods formulated through
carefully designed combinations of the standard FEM and some of the techniques from the …

[图书][B] Smoothed finite element methods

GR Liu, N Trung - 2016 - books.google.com
Drawing on the authors' extensive research results, this book presents the theoretical
framework and development of various S-FEM models. It discusses the overall modeling …

The smoothed finite element method (S-FEM): A framework for the design of numerical models for desired solutions

GR Liu - Frontiers of structural and civil engineering, 2019 - Springer
The smoothed finite element method (S-FEM) was originated by GR Liu by combining some
meshfree techniques with the well-established standard finite element method (FEM). It has …

Two-phase PFEM with stable nodal integration for large deformation hydromechanical coupled geotechnical problems

YF Jin, ZY Yin - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
The node-based strain smoothed particle finite element method (NS-PFEM) has a high level
of computational efficiency. However, it has not yet been extended to hydromechanical …

A stable node-based smoothed PFEM for solving geotechnical large deformation 2D problems

YF Jin, ZY Yin, XW Zhou, FT Liu - Computer Methods in Applied Mechanics …, 2021 - Elsevier
The strain smoothed nodal integration particle finite element method (NS-PFEM) has a high
level of computational efficiency. However, it suffers from the 'overly soft'problem. This study …

[图书][B] Smoothed point interpolation methods: G space theory and weakened weak forms

GR Liu, G Zhang - 2013 - books.google.com
Based on the widely used finite element method (FEM) and the latest Meshfree methods, a
next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) …

A node-based smoothed finite element method (NS-FEM) for upper bound solution to visco-elastoplastic analyses of solids using triangular and tetrahedral meshes

T Nguyen-Thoi, HC Vu-Do, T Rabczuk… - Computer Methods in …, 2010 - Elsevier
A node-based smoothed finite element method (NS-FEM) was recently proposed for the
solid mechanics problems. In the NS-FEM, the system stiffness matrix is computed using the …

A temporal stable smoothed particle finite element method for large deformation problems in geomechanics

WH Yuan, M Liu, N Guo, BB Dai, W Zhang… - Computers and …, 2023 - Elsevier
In this study, a stabilized smoothed particle finite element method (SPFEM) for modeling
nonlinear, large deformation dynamic problems in geomechanics is presented. The …

A node-based smoothed finite element method with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates

H Nguyen-Xuan, T Rabczuk, N Nguyen-Thanh… - Computational …, 2010 - Springer
In this paper, a node-based smoothed finite element method (NS-FEM) using 3-node
triangular elements is formulated for static, free vibration and buckling analyses of Reissner …

A stable nodal integration method with strain gradient for static and dynamic analysis of solid mechanics

H Feng, XY Cui, GY Li - Engineering Analysis with Boundary Elements, 2016 - Elsevier
A stable nodal integration method with strain gradient (SNIM-SG) for curing the temporal
instability of node-based smoothed finite element method (NS-FEM) is proposed for dynamic …